Question

Please answer the maths question attached below.

Answer 1

1820 Children

Explanation:

Women = 25⁰

Men = 75⁰

100⁰

Since a circle is 360⁰, children make up 260⁰.

Let W, M, and C stand for the numbers of Women, Men, and Children, respectively.

We learn that M = W + 350

From the pie diagram, we also know that M = 3W (Men are 75⁰ and Women are 25⁰).

We can use substitution:

(1) M = W + 350

(2) M = 3W

(3) 3W = W + 350 [Use 3W in place of M]

2W = 350

W = 175

Children are 260⁰ of the total of 360⁰.

Women, at 175 individuals, make up 25⁰ of the total.

We can say that: 175/25⁰ = 7 people per degree.

( 360⁰)*(7 People/⁰) = 25,200 total people.

Category Degrees People (7 per degree)

W 25 175

M 75 525

C 260 1820

360⁰ 2520 Total People

This popular zoo had 1820 children visitors over an undisclosed time period (day, week, decade, hour?)

Answer 2

1820 children

Explanation:

You want the number of children represented in a pie chart showing men in a sector of 75°, women in a sector of 25°, and the remaining area for children. We are told there are 350 more men than women.

Difference

The difference in the angles for men and women is proportional to the difference in the number of people represented:

(350 men)/(75° -25°) = 7 men/°

Children

The sector representing children covers an angle of ...

360° -75° -25° = 260°

If each degree represents 7 children, then the number of children represented is ...

260°(7 children/°) = 1820 children

The number of children represented by the pie chart is 1820.

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Additional comment

Overall, the pie chart represents 175 women, 525 men, 1820 children, for a total of 2520 people.

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